The details that supports the idea that the characters have common interests are stated in the text, "So much obliged!" added Tweedledee. "You like poetry?" and "Ye-es, pretty well - some poetry," Alice said doubtfully," These details point to the idea that the characters have common interests because Tweedledee firsts asks if she likes poetry, signaling that he does too and is wondering if she does. Alice answers that she does, signaling that they both have a common interest because they both like poetry.
